Question

The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ=7 inches and σ=1.7 inches.

(a) Is X a discrete or continuous random variable? (Type:
DISCRETE or CONTINUOUS)

ANSWER:

(b) Write the event ''a fish chosen has a length equal to 4 inches'' in terms of X: .

(c) Find the probability of this event:

(d) Find the probability that the length of a chosen fish was greater than 8.5 inches: .

(e) Find the probability that the length of a chosen fish was between 4 and 8.5 inches:

Answer #1

(5 pts) The length, X, of a fish from a particular
mountain lake in Idaho is normally distributed with μ=8.3
inches and σ=2 inches.
(a) Is X a
discrete or continuous random variable? (Type: DISCRETE or
CONTINUOUS)
ANSWER:
(b) Write the event
''a fish chosen has a length of less than 5.3 inches'' in terms of
X: .
(c) Find the
probability of this event:
(d) Find the
probability that the length of a chosen fish was greater than 11.3...

The length, X X , of a fish from a particular mountain lake in
Idaho is normally distributed with μ=9.6 μ = 9.6 inches and σ=1.4 σ
= 1.4 inches. (a) Is X X a discrete or continuous random
variable?
(b) Write the event ''a fish chosen has a length of less than
6.6 inches'' in terms of X X :
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was...

The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ= 8.9 and σ=1.6 inches.
(a) Write the event ''a fish chosen has a length of less than
5.9 inches'' in terms of X: ____
(b) Find the probability of this event: ____
(c) Find the probability that the length of a chosen fish was
greater than 11.4 inches: ____
(d) Find the probability that the length of a chosen fish was
between...

15 #5
The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=9.8 inches and
σ=1.1inches.
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was
greater than 12.8 inches: .
(e) Find the probability that the length of a chosen fish was
between 8.8 and 12.8 inches:

15 #8
The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=8.7 inches and
σ=1.1inches.
(a) Find the probability that the length of a chosen fish was
greater than 9.7 inches: .
(b) Find the probability that the length of a chosen fish was
between 7.7 and 9.7 inches:

The score on Math 206 class X, is normally distributed with
μ=74.5 and σ=8.7.
Assume for the sake of this problem that the score is a continuous
variable.
(a) Write the event ''a score equal to 64.5'' in terms of
X: .
(b) Find the probability of this event:
(c) Find the probability that a randomly chosen score is greater
than 84.5: .
(d) Find the probability that a randomly chosen score is between
64.5 and 84.5: .

The lengths of mature trout in a local lake are approximately
normally distributed with a mean of μ=13.7 inches, and a standard
deviation of σ=1.8 inches.
Find the z-score corresponding to a fish that is 12.1 inches
long. Round your answer to the nearest hundredth as needed.
z=________
How long is a fish that has a z-score of 1.4? Round your answer
to the nearest tenth as needed._______

According to a study, the random variable, at least X,
expressing the length of the fish endemic to a lake follows a
normal distribution with mean µ = 20cm and standard deviation σ =
4cm. a) A fish is fishing by the lake. What is the probability that
its length is greater than 18cm but does not exceed 24cm? b)
Determine a symmetric mean of the X interval whose lengths are 95%
of the lake's fish. c) Angling 4 fish...

1/ A particular fruit's weights are normally distributed, with a
mean of 352 grams and a standard deviation of 28 grams.
If you pick 9 fruits at random, then 9% of the time, their mean
weight will be greater than how many grams?
Give your answer to the nearest gram.
2/A manufacturer knows that their items have a lengths that are
skewed right, with a mean of 7.5 inches, and standard deviation of
0.9 inches.
If 50 items are chosen...

A manufacturer knows that their items have a normally
distributed length, with a mean of 7.7 inches, and standard
deviation of 1.7 inches.
If 7 items are chosen at random, what is the probability that
their mean length is less than 9.2 inches?

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